Mendeley出力
＜図書＞
Mathematical analysis
| 責任表示 | Claudio Canuto, Anita Tabacco |
|---|---|
| シリーズ | Universitext |
| データ種別 | 図書 |
| 出版情報 | Berlin : Springer , c2008-2010 |
| 本文言語 | 英語 |
| 大きさ | 2v : ill. (some col.) ; 24 cm |
| 概要 | The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities... The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. Written for: Engineering, Physics and Computer Science students. Book jacket. The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis, along the lines of the Programme Specifications for mathematical teaching recently adopted by European universities. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book's structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the correspond-ing key techniques and find the proofs of the main results. The second level builds upon online complementary notes that enable the strongly motivated reader to explore further into the subject; pointers to this material are disseminated in the treatise. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. Book jacket.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7007466 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
2 | 理系図3F 数理独自 | CANU/10/2-2 | 2010 |
|
033212010003733 |
|
書誌詳細
| 一般注記 | Includes index |
|---|---|
| 著者標目 | Canuto, C. Tabacco, Anita |
| 書誌ID | 1001432532 |
| ISBN | 9788847008755 |
| NCID | BA86966335 |
| 巻冊次 | 1 ; ISBN:9788847008755 2 ; ISBN:9788847017832 |
| 登録日 | 2010.10.27 |
| 更新日 | 2017.02.18 |